Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers

The Multiple Pressure Variables Method for Fluid Dynamics and Aeroacoustics at Low Mach Numbers

The incompressible limit of a compressible fluid, when the Mach number tends to zero, is a singular limit due to the fact that the governing equations change their type. The propagation rate of the pressure waves become infinite. Based on asymptotic results the multiple pressure variables (MPV-) method is reviewed as it may be used for the construction of numerical methods in this low Mach numb...

Molecular Dynamics Simulations of Nanochannel Flows at Low Reynolds Numbers

In this paper we use molecular dynamics (MD) simulations to study nanochannel flows at low Reynolds numbers and present some new interesting results. We investigated a simple fluid flowing through channels of different shapes at the nano level. The Weeks-Chandler-Anderson potentials with different interaction strength factors are adopted for the interaction forces between fluid -fluid and fluid...

Biological Fluid Dynamics: Swimming at low Reynolds numbers

Quantum Gravity at Astrophysical Distances?

Assuming that Quantum Einstein Gravity (QEG) is the correct theory of gravity on all length scales we use analytical results from nonperturbative renormalization group (RG) equations as well as experimental input in order to characterize the special RG trajectory of QEG which is realized in Nature and to determine its parameters. On this trajectory, we identify a regime of scales where gravitat...

Particle Methods in Astrophysical Fluid Dynamics

Particle methods play an important role in the study of a wide variety of astrophysical fluid dynamics problems. The different methods currently in use are all variants of the socalled Smoothed Particle Hydrodynamics (SPH) scheme introduced by Lucy and Gingold & Monaghan more than twenty years ago. This paper presents a complete introduction to SPH in its modern form, and discusses some of the ...